Quandle Coloring Quivers of Surface-Links

Jieon Kim; Sam Nelson; Minju Seo

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arXiv · 2010.00338

Quandle Coloring Quivers of Surface-Links

Jieon Kim·Sam Nelson·Minju Seo

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Abstract

Quandle coloring quivers are directed graph-valued invariants of oriented knots and links, defined using a choice of finite quandle $X$ and set $S\subset\mathrm{Hom}(X,X)$ of endomorphisms. From a quandle coloring quiver, a polynomial knot invariant known as the \textit{in-degree quiver polynomial} is defined. We consider quandle coloring quiver invariants for oriented surface-links, represented by marked graph diagrams. We provide example computations for all oriented surface-links with ch-index up to 10 for choices of quandles and endomorphisms.

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BibTeX RIS

Jieon Kim, Sam Nelson, Minju Seo. 2020-09-30. Quandle Coloring Quivers of Surface-Links. https://arxiv.org/abs/2010.00338

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